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Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 80947: From towns 363 miles apart, Pat and Mike set out to meet each other. If Pat travels 1 mile the first day, 3 miles the second, 5 miles the third, etc. and Mike travels 2 miles the first day, 6 miles the second and 10 miles the third, etc., when will they meet? - I got the answer from my teacher, I know it's 11 days, but I have no idea how to work it. PLEASE HELP!
Click here to see answer by scott8148(3385)   |
Question 80963This question is from textbook
: Mary's annual salaries form an aritnmetic sequence. She earned $17,400 during her third year and $21,000 during her sixth year.
a. Find her starting salary.
b. Find her annual salary increases.This question is from textbook
Click here to see answer by stanbon(26297)  |
Question 81308: "Find the sum of the first 50 terms of the arithmetic series with first term = -1 and fifth term 9."
So far I tried to find d. Then I tried to plug it into a(sub n) = a(sub 1) + (n - 1)d, so that I could find a(sub n). Then I plugged everything into the formula S(sub n) = n/2(a(sub 1) + a(sub n). But I got a number that doesn't look right. If anyone could help me with this, I would very much appreciate it. Thanks.
Click here to see answer by stanbon(26297) |
Question 81950This question is from textbook
: the tenth row of Pascal's triangle begins: 1, 10, 45, 120, 210... Use the triangle to answer the following questions
a. find the eighth term in the expansion of (x+1)^10
b. find the first four terms in the expansion of (x-y)^11This question is from textbook
Click here to see answer by stanbon(26297) |
Question 81942This question is from textbook
: a. write 0.75 as an infinite geometric series. (bar is over 75)
b. express 0.75 as a fraction in lowest terms by finding the sum of the series.
(bar is over 75)This question is from textbook
Click here to see answer by checkley75(3666) |
Question 82093This question is from textbook
: a. write 0.75 as an infinite geometric series. (bar is over 75)
b. express 0.75 as a fraction in lowest terms by finding the sum of the series.
(bar is over 75)
This question is from textbook
Click here to see answer by checkley75(3666) |
Question 82382This question is from textbook
: Consider a sequence 4, x, 9, ... with x>0
If the sequence is geometic, find (a) the value of x, (b) the value of t 6, (c) a formula for t n and (d) the value of S 6This question is from textbook
Click here to see answer by stanbon(26297) |
Question 82380This question is from textbook
: Consider an arithmetic series has 14 terms, with t 1 = -100 and t 14 = -48.
a. Find a formula for the series in sigma notation.
b. Find the value of S14This question is from textbook
Click here to see answer by stanbon(26297) |
Question 82554: Find the next term of the sequence.
1, 8, 27, 64, ...
What is the formula for the following arithmetic sequence?
-2, 3, 8, 13, ...
a.an = -2n + 3
b.an = -2n + 7
c.an = 5n + 3
d.an = 5n - 7
What is the common difference of the sequence?
2, -1, -4, -7, ...
Click here to see answer by 303795(562) |
Question 82554: Find the next term of the sequence.
1, 8, 27, 64, ...
What is the formula for the following arithmetic sequence?
-2, 3, 8, 13, ...
a.an = -2n + 3
b.an = -2n + 7
c.an = 5n + 3
d.an = 5n - 7
What is the common difference of the sequence?
2, -1, -4, -7, ...
Click here to see answer by checkley75(3666) |
Question 82553: Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (write your answer in the form an= and please do NOT use spaces)
What is the common ration of the sequence?
-2, 2, -2, 2, ...
What is the explicit formula for the sequence?
3, 6, 12, 24, ...
a. an = 3*2^(n-1)
b. an = 2*3^(n-1)
c. an = 3*-2^(n-1)
d. an = 3^(n-1)
Click here to see answer by stanbon(26297) |
Question 82551: pick right chioce for each thank u
Question 9
You can do 10 situps at the beginning of the month. You add 1 additional situp everyday. How may TOTAL situps have you done after 30 days?
a. 10
b. 30
c. 735
d. 1030
Question 10
You drive a 12 inch spike into a piece of wood 1/3 of the way with each strike of the hammer. How far has the spike gone into the wood (total) after the 3rd hit of the hammer? Round your answer to the nearest tenth.
a. 3.6 inches
b. 0.4 inches
c. 8.4 inches
d.12 inches
e. 11.6 inches
Click here to see answer by josmiceli(3013) |
Question 82644: Find the sum of the first 10 terms of the series defined by the formula:
an = -2n + 5
a. 3
b. 2
c.-60
d. -15
A 5 inch spike is being pounded in to a log. Every time you hit the hammer 1/4 of the remaining spike goes into the log. What kind of sequence or series is definied by the total distance the spike goes into the log?
a. arithmetic sequence
b. arithmetic series
c. geometric sequence
d.geometric series
Click here to see answer by stanbon(26297) |
Question 82683: From the information in the table providing values of f(x) and g(x), evaluate (f . g ) ^ -1 (2).
x 1 2 3 4 5
f(x) 3 4 5 1 2
g(x) 5 4 2 3 1
The answer I came out with was 4. Could you confirm this for me? Thanks
Click here to see answer by stanbon(26297) |
Question 83206: Apply the formulas for motion due to gravitational attraction.
A stone is dropped from the top of a building 240 feet high. It is observed to take 0.20 seconds to go past an office floor-to-ceiling window that is 12 feet high. How far is it from the bottom of the window down to the street?
Click here to see answer by stanbon(26297) |
Question 83285: Question-2: A 100 grams of a radioactive substance is expected to decay exponentially to 50 grams in the course of 7 years.
(a) Write down the half-life, and the rate of decay of the radioactive substance.
(b) Write down the function N(t) representing the mass of the decaying radioactive substance after t years,
(c) How much of the substance is expected to remain after 14, 21, and 28 years, respectively?. How long would it take for the radioactive substance to decay to under 1 gram?.
Click here to see answer by stanbon(26297) |
Question 83716: We are having a lecture this afternoon and I would like to be able to apply the lecture to this so that I can understand it. Thanks for any help.
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any two consecutive terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer:
Show work in this space
d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer:
Show work in this space
e) What observation can you make about these sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
Click here to see answer by stanbon(26297) |
Question 83716: We are having a lecture this afternoon and I would like to be able to apply the lecture to this so that I can understand it. Thanks for any help.
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any two consecutive terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer:
Show work in this space
d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer:
Show work in this space
e) What observation can you make about these sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
Click here to see answer by jim_thompson5910(13794) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215
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